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Volumn 35, Issue 9, 2010, Pages 1590-1609

Remarks on the acoustic limit for the Boltzmann equation

Author keywords

Acoustic limit; Boltzmann equation; Renormalized boundary condition

Indexed keywords


EID: 77955376172     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605302.2010.496096     Document Type: Article
Times cited : (41)

References (16)
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  • 2
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  • 3
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    • Fluid dynamic limits of kinetic equations II: Convergence proof for the Boltzmann equation
    • Bardos, C., Golse, F., Levermore, D. (1993). Fluid dynamic limits of kinetic equations II: Convergence proof for the Boltzmann equation. Commun. Pure & Appl. Math. 46:667-753.
    • (1993) Commun. Pure & Appl. Math , vol.46 , pp. 667-753
    • Bardos, C.1    Golse, F.2    Levermore, D.3
  • 5
    • 0001089576 scopus 로고
    • On the Cauchy problem for the Boltzmann equation: Global existence and weak stability
    • DiPerna, R., Lions, P.-L. (1989). On the Cauchy problem for the Boltzmann equation: Global existence and weak stability. Annals of Math. 130:321-366.
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  • 6
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    • The Stokes-Fourier and acoustic limits for the Boltzmann equation
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    • Golse, F.1    Levermore, C.D.2
  • 8
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    • The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
    • Golse, F., Saint-Raymond, L. (2004). The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Invent. Math. 155:81-161.
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    • Golse, F.1    Saint-Raymond, L.2
  • 9
    • 77952502054 scopus 로고    scopus 로고
    • Local Hilbert expansion for the Boltzmann equation
    • Guo, Y., Jang, J., Jiang, N. (2009). Local Hilbert expansion for the Boltzmann equation. Kinetic and Related Models 2:205-214.
    • (2009) Kinetic and Related Models , vol.2 , pp. 205-214
    • Guo, Y.1    Jang, J.2    Jiang, N.3
  • 10
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    • Acoustic limit for the Boltzmann equation in optimal scaling
    • Guo, Y., Jang, J., Jiang, N. (2010). Acoustic limit for the Boltzmann equation in optimal scaling. Commun. Pure & Appl. Math. 63:337-361.
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  • 11
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    • Acoustic limit of the Boltzmann equation: Classical solution
    • Jang, J., Jiang, N. (2009). Acoustic limit of the Boltzmann equation: Classical solution. Discrete Contin. Dynam. Systems-Series A 25:869-882.
    • (2009) Discrete Contin. Dynam. Systems-Series A , vol.25 , pp. 869-882
    • Jang, J.1    Jiang, N.2
  • 12
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    • Kinetic-fluid boundary layers and hydrodynamic limits of Boltzmann equation (I): Incompressible Navier-Stokes-Fourier limit
    • Jiang, N., Masmoudi, N. Kinetic-fluid boundary layers and hydrodynamic limits of Boltzmann equation (I): Incompressible Navier-Stokes-Fourier limit. Submitted to Commun. Pure & Appl. Math.
    • Submitted to Commun. Pure & Appl. Math
    • Jiang, N.1    Masmoudi, N.2
  • 13
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    • From the Boltzmann equation to an incompressible Navier-Stokes-Fourier System
    • Levermore, C.D., Masmoudi, N. (2010). From the Boltzmann equation to an incompressible Navier-Stokes-Fourier System. Arch. Ration. Mech. & Anal. 196:753-809.
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  • 14
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    • Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels
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  • 15
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    • Masmoudi, N.1    Saint-Raymond, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.